Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation
From MaRDI portal
Publication:6610241
DOI10.1142/S0218202524500337MaRDI QIDQ6610241
Publication date: 25 September 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- On a parabolic-elliptic system with gradient dependent chemotactic coefficient
- Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
- Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation
- Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
- Blow-up phenomena for a chemotaxis system with flux limitation
- On an elliptic chemotaxis system with flux limitation and subcritical signal production
- Boundedness in a quasilinear fully parabolic Keller-Segel system via maximal Sobolev regularity
- Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation
- Facing low regularity in chemotaxis systems
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Conditional estimates in three-dimensional chemotaxis-Stokes systems and application to a Keller-Segel-fluid model accounting for gradient-dependent flux limitation
- Blow-up in a chemotaxis model without symmetry assumptions
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- LPBounds of solutions of reaction-diffusion equations
- On a parabolic-parabolic system with gradient dependent chemotactic coefficient and consumption
- Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient
- A critical blow-up exponent for flux limiation in a Keller-Segel system
- On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Finite-time blow-up in a degenerate chemotaxis system with flux limitation
This page was built for publication: Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6610241)